Properties of the Transmuted Burr XII Distribution, Regression and its Applications

Journal of Data Science

article

Ahmed Z. Afify¹  Gauss M. Cordeiro²  Marcelo Bourguignon³  M.M. Ortega⁴ 

[1] Department of Statistics, Mathematics and Insurance,Benha University;Departamento de Estatıstica, Universidade Federal de Pernambuco;Departamento de Estatıstica,Universidade Federal de Pernambuco;Departamento de Ciˆencias Exatas, Universidade de S˜ao Paulo

关键词: Entropy;    Moment;    Order statistic;   

DOI  :  10.6339/JDS.201807_16(3).0003

学科分类：土木及结构工程学

来源: JDS

【 摘 要 】

In this paper, we define and study a four-parameter model called the transmuted Burr XII distribution. We obtain some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, order statistics, probability weighted moments and entropies. We formulate and develop a log-linear model using the new distribution so-called the log-transmuted Burr XII distribution for modeling data with a unimodal failure rate function, as an alternative to the log-McDonald Burr XII, log-beta Burr XII, log-Kumaraswamy Burr XII, log-Burr XII and logistic regression models. The flexibility of the proposed models is illustrated by means of three applications to real data sets.

【 授权许可】

CC BY